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1100235828041 = 7262701358109
BaseRepresentation
bin10000000000101011001…
…010100110101101001001
310220011220022211001222122
4100000223022212231021
5121011240332444131
62201235200101025
7142326604142600
oct20005312465511
93804808731878
101100235828041
113946754950a9
12159296904775
137c9a08c81ac
143b374934a37
151d946535d7b
hex1002b2a6b49

1100235828041 has 12 divisors (see below), whose sum is σ = 1279890153540. Its totient is φ = 943041607200.

The previous prime is 1100235828031. The next prime is 1100235828067. The reversal of 1100235828041 is 1408285320011.

It can be written as a sum of positive squares in 2 ways, for example, as 677600617225 + 422635210816 = 823165^2 + 650104^2 .

It is not a de Polignac number, because 1100235828041 - 210 = 1100235827017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100235827992 and 1100235828010.

It is not an unprimeable number, because it can be changed into a prime (1100235828031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2893295 + ... + 3251403.

It is an arithmetic number, because the mean of its divisors is an integer number (106657512795).

Almost surely, 21100235828041 is an apocalyptic number.

It is an amenable number.

1100235828041 is a deficient number, since it is larger than the sum of its proper divisors (179654325499).

1100235828041 is an equidigital number, since it uses as much as digits as its factorization.

1100235828041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420824 (or 420817 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 1100235828041 in words is "one trillion, one hundred billion, two hundred thirty-five million, eight hundred twenty-eight thousand, forty-one".

Divisors: 1 7 49 62701 358109 438907 2506763 3072349 17547341 22453792409 157176546863 1100235828041